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Finding the Fourth Proportional to 142.35, 212.40 and 133.64

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Solution

The fourth proportional to 142.35, 212.40 and 133.64 is: 199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 212.40 = 133.64 : x
  2. Step 2: Convert to fraction form
    142.35/212.40 = 133.64/x
  3. Step 3: Cross multiply
    142.35x = 212.40 × 133.64
  4. Step 4: Simplify right side
    142.35x = 28,385.57
  5. Step 5: Solve for x
    x = 28,385.57/142.35
  6. Step 6: Final answer
    x = 199.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.